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105030828850 = 25217379734429
BaseRepresentation
bin110000111010001010…
…0110100001100110010
3101001002210000221001011
41201310110310030302
53210100343010400
6120130035101134
710405522213003
oct1416424641462
9331083027034
10105030828850
11405a818a2a2
12184327417aa
139b9ab7364c
1451252691aa
152aeac308ba
hex1874534332

105030828850 has 96 divisors (see below), whose sum is σ = 214635793680. Its totient is φ = 38074613760.

The previous prime is 105030828839. The next prime is 105030828857. The reversal of 105030828850 is 58828030501.

It can be written as a sum of positive squares in 24 ways, for example, as 36036009 + 104994792841 = 6003^2 + 324029^2 .

It is a super-2 number, since 2×1050308288502 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105030828857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3033436 + ... + 3067864.

Almost surely, 2105030828850 is an apocalyptic number.

105030828850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105030828850 is an abundant number, since it is smaller than the sum of its proper divisors (109604964830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105030828850 is a wasteful number, since it uses less digits than its factorization.

105030828850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34592 (or 34587 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The spelling of 105030828850 in words is "one hundred five billion, thirty million, eight hundred twenty-eight thousand, eight hundred fifty".

Divisors: 1 2 5 10 17 25 34 37 50 74 85 97 170 185 194 370 425 485 629 850 925 970 1258 1649 1850 2425 3145 3298 3589 4850 6290 7178 8245 15725 16490 17945 31450 34429 35890 41225 61013 68858 82450 89725 122026 172145 179450 305065 344290 585293 610130 860725 1170586 1273873 1525325 1721450 2547746 2926465 3050650 3339613 5852930 6369365 6679226 12738730 14632325 16698065 21655841 29264650 31846825 33396130 43311682 56773421 63693650 83490325 108279205 113546842 123565681 166980650 216558410 247131362 283867105 541396025 567734210 617828405 1082792050 1235656810 1419335525 2100616577 2838671050 3089142025 4201233154 6178284050 10503082885 21006165770 52515414425 105030828850